Statistics and Probability Reviewer PDF

STATISTICS AND PROBABILITY Reviewer 1. Which of the following is NOT a discrete random variable? a. Number of voters. b. Number of calculators used in an examination. c. distance travelled between classes. d. A person’s age in years. 2. Which of the fol...

STATISTICS AND PROBABILITY Reviewer 1. Which of the following is NOT a discrete random variable? a. Number of voters. b. Number of calculators used in an examination. c. distance travelled between classes. d. A person’s age in years. 2. Which of the following is TRUE about continuous variable? a. There is a limit. b. Countable data. c. Presented by interval of values. d. Presented by countable data. Discrete: Possible Outcomes are COUNTABLE Presented by countable data THERE IS A LIMIT Examples: number of students present number of red marbles in a jar number of heads when flipping three coins students’ grade level Continuous: Possible Outcomes are on a CONTINUOUS SCALE. ( height, weight or temperature) Presented by interval of values THERE IS NO LIMIT Examples: height of students in class weight of students in class time it takes to get to school distance traveled between classes amount of a solution used in an experiment 3. How many possible outcomes when we rolling two dice? a. 12 b. 24 c. 36 d. 6 4.What is the area under the standard normal curve? a. 0.5 b..25 c. 1 d. 1.5 5. What is the are half of a normal curve? a. 0.05  b. 0.5 c. 1 d. 1.5 6. What do you call the descriptive measures computed from a population? a. Parameter b. Mean c. Standard Deviation d. Statistic 7. What do you call the descriptive measures computed from a sample? a. Parameter b. Mean c. Standard Deviation d. Statistic 8. The following is the property of the Normal Distribution,EXCEPT. a. The distribution curve is bell-shaped. b. The length of the curve is determined by the standard deviation of the distribution. c. The mean, median, and the mode coincide at the center. d. The area under the curve is 1. Thus, it represents the probability or proportion or the percentage associated with specific sets of measurement values. 9. X 0.11 0.15 0.22 0.30 0.43 P(X) 0.05 0.23 0.48 0.09 0.15 What is the P(0.11 < X < 0.43)? a. 0.20 b. 0.80 c. 0.95 d. 1 10. The standard deviations of sets M, A, T, and H are 0.30, 0.36, 0.28 and 0.24 respectively. Which set of data has scores closer to the mean? a. M b. A c. T d. H 11-13. Find the z-value of the following set of data. Tell whether the score is above or below the mean. 11.μ = 45, σ = 6, X = 39 z = -1 Below 12.μ = 40, σ = 8, X = 52 z = 1.5 Above 13.μ = 75, σ = 15, X = 82 z = 0.47 Above 14. How many combinations of 4 objects are there, taken 2 at a time? a. 2 b. 4 c. 6 d. 8 15. An advertising executive must select 3 different photographs for an advertising flier. If she has 10 different photographs that can be used, how many ways can she select 3 of them? a. 100 b. 120 c. 140 d. 160 16-19. Finding the z-score and percentile rank. 16. What 𝑧-score corresponds to P96 or 96th percentile? Answer: z=1.75 17. What 𝑧-score corresponds to P34 or 34th percentile? Answer: z = -0.41 18. What percentile does 𝑧-score 2.34 represent? Answer: The 𝑧-score represents 99th percentile or P99 19. d. What percentile does 𝑧-score -1.82 represent? Answer: The 𝑧-score represents 3rd percentile or P3 20. Which of the following properties of Discrete Probability Distribution is FALSE? a. The probability of each value of the random variable must be 0 ≤ P(X) ≤ 1. b. The sum of the probabilities of all values of the random variable must be equal to 1. c. The sum of the probabilities of all values of the random variable must be equal to 100%. d. The probability of each value of the random variable must be 0 < P(X) ≤ 1. 21. Which of the following is not a discrete probability distribution? a. 6%, 20%,30%,39%,5% b. 0.20,0.10,0.15,0.25,0.30 c. ½,1/25,1/8, ¼, 17/200 d. 10%,20%,30%,12%,22% 22. What is the area of P(-1.10